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Simplifying 8k + -4 = 5 + 6(k + 3) Reorder the terms: -4 + 8k = 5 + 6(k + 3) Reorder the terms: -4 + 8k = 5 + 6(3 + k) -4 + 8k = 5 + (3 * 6 + k * 6) -4 + 8k = 5 + (18 + 6k) Combine like terms: 5 + 18 = 23 -4 + 8k = 23 + 6k Solving -4 + 8k = 23 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -4 + 8k + -6k = 23 + 6k + -6k Combine like terms: 8k + -6k = 2k -4 + 2k = 23 + 6k + -6k Combine like terms: 6k + -6k = 0 -4 + 2k = 23 + 0 -4 + 2k = 23 Add '4' to each side of the equation. -4 + 4 + 2k = 23 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = 23 + 4 2k = 23 + 4 Combine like terms: 23 + 4 = 27 2k = 27 Divide each side by '2'. k = 13.5 Simplifying k = 13.5
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